Pith. sign in
Pith Number

pith:JHVHGBFU

pith:2019:JHVHGBFUD7ANSHK5CCQV5YN44U
not attested not anchored not stored refs pending

Integral formulas of ASEP and $q$-TAZRP on a ring

Axel Saenz, Dong Wang, Zhipeng Liu

arxiv:1905.02987 v2 · 2019-05-08 · math.PR · math-ph · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JHVHGBFUD7ANSHK5CCQV5YN44U}

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Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-07-05T01:46:11.078958Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

49ea7304b41fc0d91d5d10a15ee1bce5281871f9ba29191ab27b8ead1844f6b8

Aliases

arxiv: 1905.02987 · arxiv_version: 1905.02987v2 · doi: 10.48550/arxiv.1905.02987 · pith_short_12: JHVHGBFUD7AN · pith_short_16: JHVHGBFUD7ANSHK5 · pith_short_8: JHVHGBFU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JHVHGBFUD7ANSHK5CCQV5YN44U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 49ea7304b41fc0d91d5d10a15ee1bce5281871f9ba29191ab27b8ead1844f6b8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "69733979f0f03fdd2dee6f978b731d6fbd0b661e1f8639713775771053dedaa3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-08T10:00:55Z",
    "title_canon_sha256": "966594d037b9ce164a3f1cf295598fd9de8b94314ce86164ba7121a307d41e8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02987",
    "kind": "arxiv",
    "version": 2
  }
}